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Simplifying 12(8d + -3) + -12(5d + 4) = 0 Reorder the terms: 12(-3 + 8d) + -12(5d + 4) = 0 (-3 * 12 + 8d * 12) + -12(5d + 4) = 0 (-36 + 96d) + -12(5d + 4) = 0 Reorder the terms: -36 + 96d + -12(4 + 5d) = 0 -36 + 96d + (4 * -12 + 5d * -12) = 0 -36 + 96d + (-48 + -60d) = 0 Reorder the terms: -36 + -48 + 96d + -60d = 0 Combine like terms: -36 + -48 = -84 -84 + 96d + -60d = 0 Combine like terms: 96d + -60d = 36d -84 + 36d = 0 Solving -84 + 36d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 36d = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 36d = 0 + 84 36d = 0 + 84 Combine like terms: 0 + 84 = 84 36d = 84 Divide each side by '36'. d = 2.333333333 Simplifying d = 2.333333333
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